Bibliography for Cubic Splines

Return to Numerical Methods - Numerical Analysis

 

  1. Constructing of Cubic Parametric Spline Curve with High Precision
    Zhang, C.-M.
    Chinese Journal of Computers, 2002, vol. 25, no. 3, pp. 262-268 , Ingenta.
  2. Some remarks on a rational cubic spline for the visualization of monotonic data
    Sarfraz, M.
    Computers and Graphics, 2002, vol. 26, no. ER1, pp. 193-197 , Ingenta.
  3. Multivariate cubic spline smoothing in multiple prediction
    Khamis, H.; Kepler, M.
    Computer Methods and Programs in Biomedicine, 2002, vol. 67, no. ER2, pp. 131 - 136 , Ingenta.
  4. Error estimation for a rational cubic spline. (Chinese)  
    Lai, Xiang; Liu, Ai Kui; Duan, Qi   
    Gongcheng Shuxue Xuebao 19 (2002), no. 1, 94--98, Math. Sci. Net.
  5. On monotone interpolation by cubic splines. (Russian)  
    Volkov, Yu. S.  
    Vychisl. Tekhnol. 6 (2001), no. 6, 14--24, Math. Sci. Net.
  6. Time-line cubic spline interpolation scheme for solution of advection equation.
    Ahmad, Z.; Kothyari, U. C.
    Comput. & Fluids 30 (2001), no. 6, 737--752, Math. Sci. Net.
  7. The use of cubic splines in the numerical solution of a system of second-order boundary value problems.  
    Al-Said, E. A.  
    Comput. Math. Appl. 42 (2001), no. 6-7, 861--869, Math. Sci. Net.
  8. Nonnegative volume matching by cubic C1 splines on Clough-Tocher splits.
    Schmidt, Jochen W.; Bastian, Marion; Mulansky, Bernd  
    SIAM J. Numer. Anal. 39 (2001), no. 2, 566--586 (electronic).
  9. Shape-preserving, multiscale interpolation by bi- and multivariate cubic L1 splines.  
    Lavery, John E.  
    Comput. Aided Geom. Design 18 (2001), no. 4, 321--343.
  10. Cubic Spline Fitting to FET Voltage-Current Characteristics
    Kalienko, I. V.
    Measurement Techniques, 2001, vol. 44, no. 5, pp. 536-540 , Ingenta.
  11. Refinement of the Cubic Spline Application Technique for an Analytic Representation of Ionospheric Data
    Balaganskii, B. A.; Sazhin, V. I.
    Geomagnetism and Aeronomy, 2001, vol. 41, no. 5, pp. 656-659 , Ingenta.
  12. A Monotone Nonlocal Cubic Spline
    Pinchukov, V. I.
    Computational Mathematics and Mathematical Physics, 2001, vol. 41, no. 2, pp. 180-186 , Ingenta.
  13. Cubic spline data reduction choosing the knots from a third derivative criterion.
    Conti, C.; Morandi, R.; Rabut, C.; Sestini, A.
    In memory of W. Gross. Numer. Algorithms 28 (2001), no. 1-4, 45--61, Math. Sci. Net.
  14. On the existence of a certain cubic spline.
    Stelya, O. B.
    J. Math. Sci. (New York) 102 (2000), no. 1, 3832--3836, Math. Sci. Net.
  15. C^2-rational cubic spline involving tension parameters.
    Shrivastava, M.; Joseph, J.
    Proc. Indian Acad. Sci. Math. Sci. 110 (2000), no. 3, 305--314, Math. Sci. Net.
  16. Weighted rational cubic spline interpolation and its application.
    Duan, Qi; Djidjeli, K.; Price, W. G.; Twizell, E. H.
    J. Comput. Appl. Math. 117 (2000), no. 2, 121--135, Math. Sci. Net.
  17. Interpolating cubic splines.
    Knott, Gary D.
    Progress in Computer Science and Applied Logic, 18. Birkhäuser Boston, Inc., Boston, MA, (2000), Math. Sci. Net.
  18. Quadratures for Cauchy principal value integrals using cubic spline interpolations
    Kumar, S.; Sangal, A. L.
    Indian Journal of Pure and Applied Mathematics, 2000, vol. 31, no. 10, pp. 1313-1316 , Ingenta.
  19. Image Data Compression Using Cubic Convolution Spline Interpolation
    Truong, T. K.; Wang, L. J.; Reed, I. S.; Hsieh, W. S.
    IEEE Transactions on Image Processing, 2000, vol. 9, no. 11, pp. 1988-1994 , Ingenta.
  20. Cubic trigonometric spline functions of interpolation and applications.  
    Ichim, Ion; Albeanu, Grigore  
    Rev. Anal. Numér. Théor. Approx. 28 (1999), no. 2, 145--161 (2000), Math. Sci. Net.
  21. Fairing of parametric cubic splines.
    Ye, J.; Qu, R.
    Math. Comput. Modelling 30 (1999), no. 5-6, 121--131, Math. Sci. Net.
  22. The approximation properties of some rational cubic splines.
    Duan, Qi; Djidjeli, K.; Price, W. G.; Twizell, E. H.
    Int. J. Comput. Math. 72 (1999), no. 2, 155--166, Math. Sci. Net.
  23. On the construction of optimal monotone cubic spline interpolations.
    Fredenhagen, Sigrid; Oberle, Hans Joachim; Opfer, Gerhard
    J. Approx. Theory 96 (1999), no. 2, 182--201, Math. Sci. Net.
  24. Interactive shape preserving interpolation by curvature continuous rational cubic splines.
    Seymour, Chris; Unsworth, Keith
    Special issue: computational methods in computer graphics. J. Comput. Appl. Math. 102 (1999), no. 1, 87--117, Math. Sci. Net.
  25. On convergence of C1 cubic Lagrange spline interpolation.  
    Lee, Yong Hun; Shin, Byeong Chun  
    Kyungpook Math. J. 39 (1999), no. 2, 379--387, Math. Sci. Net.
  26. Cubic Spline Algorithms for Orientation Interpolation.
    Kang, I.G.; Park, F.C.
    International journal for numerical methods in e, 1999, vol. 46, no. 1, pp. 45 , Ingenta.
  27. Gregory's rational cubic splines in interpolation subject to derivative obstacles.
    Bastian-Walther, Marion; Schmidt, Jochen W.
    New developments in approximation theory (Dortmund, 1998), 33--47, Internat. Ser. Numer. Math., 132, Birkhäuser, Basel, 1999, Math. Sci. Net.
  28. Evaluation of orthodontic relapse using the cubic spline function.
    Davis, Lisa M.; BeGole, Ellen A.
    American journal of orthodontics and dentofacial orthopedics, 1998, vol. 113, no. 3, pp. 300 , Ingenta.
  29. Gaining more flexibility in Cox proportional hazards regression models with cubic spline functions.
    Heinzl, H.; Kaider, A.
    Computer methods and programs in biomedicine, 1997, vol. 54, no. 3, pp. 201 , Ingenta.
  30. On the effect of potential-energy cubic-spline interpolation error on Numerov-Cooley diatomic rovibrational levels.
    Penotti, F.E.
    Computers & chemistry, 1997, vol. 21, no. 6, pp. 363 , Ingenta.
  31. Roof edge detection using regularized cubic B-spline fitting.
    Liang, K.-H.; Tjahjadi, T.; Yang, Y.-H.
    Pattern recognition, 1997, vol. 30, no. 5, pp. 719 , Ingenta.
  32. A real-time audio frequency cubic spline interpolator.
    Okanla, E.I.; Gaydecki, P.A.
    Signal processing, 1996, vol. 49, no. 1, pp. 45 , Ingenta.
  33. Hermite Interpolation by Pythagorean Hodograph Quintics
    R. T. Farouki, C. A. Neff
    Mathematics of Computation, Vol. 64, No. 212. (Oct., 1995), pp. 1589-1609.
  34. The Restricted Cubic Spline as Baseline Hazard in the Proportional Hazards Model with Step Function Time-dependent Covariables.
    Herndon II, J.E.; Harrell Jr., F.E.
    Statistics in medicine, 1995, vol. 14, no. 19, pp. 2119 , Ingenta.
  35. Cardinal Hermite Spline Interpolation with Shifted Nodes  
    Gerlind Plonka, Manfred Tasche  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 645-659, Jstor.  
  36. Improved Rounding for Spline Coefficients and Knots  
    Eric Grosse, John D. Hobby  
    Mathematics of Computation, Vol. 63, No. 207. (Jul., 1994), pp. 175-194, Jstor.  
  37. Cubic spline curves with shape control.
    Sarfraz, Muhammad
    Computers & graphics, 1994, vol. 18, no. 5, pp. 707 , Ingenta.
  38. Predictor-corrector with cubic spline method for spectrum estimation in Compton scatter correction of SPECT.
    Chen, E.Q.; Lam, C.F.
    Computers in biology and medicine, 1994, vol. 24, no. 3, pp. 229 , Ingenta.
  39. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703.
  40. Which Cubic Spline Should One Use?
    Beatson, R.K.
    Siam journal on scientific and statistical compu, 1992, vol. 13, no. 4, pp. 1009 , Ingenta.
  41. Estimating Pit Excavation Volume Using Cubic Spline Volume Formula.
    Easa, Said M.
    Journal of surveying engineering, 1992, vol. 118, no. 2, pp. 66 , Ingenta.
  42. Interpolation of Natural Cubic Spline.
    Kumar, Arun; Govil, L.K.
    International journal of mathematics and mathema, 1992, vol. 15, no. 2, pp. 229 , Ingenta.
  43. Interproximation: interpolation and approximation using cubic spline curves.
    Cheng, F.; Barsky, B.A.
    Computer aided design, 1991, vol. 23, no. 10, pp. 700 , Ingenta.
  44. Drawing Antialiased Cubic Spline Curves.
    Klassen, R. Victor
    ACM transactions on graphics, 1991, vol. 10, no. 1, pp. 92 , Ingenta.
  45. Connecting the Dots Parametrically: An Alternative to Cubic Splines  
    Wilbur J. Hildebrand  
    College Math Journal: Volume 21, Number 3, (1990), Pages: 208-215.   
  46. Applications of Cubic Splines to Contour Plotting  
    Nicholas Liepins, Junpei Sekino  
    Mathematics Magazine: Volume 63, Number 5, (1990), Pages: 343-345.       
  47. End Conditions for Cubic Spline Interpolation.
    Ramachandran, M.P.
    Applied mathematics and computation, 1990, vol. 40, no. 2p2, pp. 105 , Ingenta.
  48. Algorithms for Piecewise Polynomials and Splines with Free Knots  
    G. Meinardus, G. Nurnberger, M. Sommer, H. Strauss  
    Mathematics of Computation, Vol. 53, No. 187. (Jul., 1989), pp. 235-247, Jstor.  
  49. Bivariate Interpolation with Quadratic Box Splines  
    Morten Daehlen, Tom Lyche  
    Mathematics of Computation, Vol. 51, No. 183. (Jul., 1988), pp. 219-230.
  50. Convergence of O(h^4) Cubic Spline Collocation Methods for Elliptic Partial Differential Equations  
    E. N. Houstis, E. A. Vavalis, J. R. Rice  
    SIAM Journal on Numerical Analysis, Vol. 25, No. 1. (Feb., 1988), pp. 54-74, Jstor.  
  51. Odds Ratio Estimation in Bernoulli Smoothing Spline Analysis-of-Variance Models  
    Yuedong Wang  
    Statistician, Vol. 46, No. 1. (1997), pp. 49-56, Jstor.  
  52. Piecewise Cubic Curve Fitting Algorithm  
    Zheng Yan  
    Mathematics of Computation, Vol. 49, No. 179. (Jul., 1987), pp. 203-213, Jstor.  
  53. Spline Estimation of Paths Using Bearings-Only Tracking Data (in Theory and Methods)  
    Richard Anderson-Sprecher, Russell V. Lenth  
    Journal of the American Statistical Association, Vol. 91, No. 433. (Mar., 1996), pp. 276-283, Jstor.  
  54. Stieltjes Derivatives and beta-Polynomial Spline Collocation for Volterra Integrodifferential Equations with Singularities  
    Qiya Hu  
    SIAM Journal on Numerical Analysis, Vol. 33, No. 1. (Feb., 1996), pp. 208-220, Jstor.  
  55. Construction of Local C^1 Quartic Spline Elements for Optimal-Order Approximation  
    Charles K. Chui, Dong Hong  
    Mathematics of Computation, Vol. 65, No. 213. (Jan., 1996), pp. 85-98, Jstor.  
  56. Cardinal Hermite Spline Interpolation with Shifted Nodes  
    Gerlind Plonka, Manfred Tasche  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 645-659, Jstor.  
  57. Improved Rounding for Spline Coefficients and Knots  
    Eric Grosse, John D. Hobby  
    Mathematics of Computation, Vol. 63, No. 207. (Jul., 1994), pp. 175-194, Jstor.  
  58. Fast Computation of a Discretized thin-Plate Smoothing Spline for Image Data  
    M. J. Buckley  
    Biometrika, Vol. 81, No. 2. (Jun., 1994), pp. 247-258, Jstor.  
  59. Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations  
    Graeme Fairweather  
    SIAM Journal on Numerical Analysis, Vol. 31, No. 2. (Apr., 1994), pp. 444-460, Jstor.  
  60. On the Spline Collocation Method for the Single-Layer Heat Operator Equation  
    Martti Hamina, Jukka Saranen  
    Mathematics of Computation, Vol. 62, No. 205. (Jan., 1994), pp. 41-64, Jstor.  
  61. Spline Smoothing with an Estimated Order Parameter (in Nonparametric Regression)  
    Michael L. Stein  
    Annals of Statistics, Vol. 21, No. 3. (Sep., 1993), pp. 1522-1544, Jstor.  
  62. Smoothing Spline Density Estimation: A Dimensionless Automatic Algorithm (in Theory and Methods)  
    Chong Gu  
    Journal of the American Statistical Association, Vol. 88, No. 422. (Jun., 1993), pp. 495-504, Jstor.  
  63. A Fast Domain Decomposition Poisson Solver on a Rectangle for Hermite Bicubic Orthogonal Spline Collocation  
    Bernard Bialecki  
    SIAM Journal on Numerical Analysis, Vol. 30, No. 2. (Apr., 1993), pp. 425-434, Jstor.  
  64. Orthogonal Spline Collocation Laplace-Modified and Alternating-Direction Methods for Parabolic Problems on Rectangles  
    Bernard Bialecki, Ryan I. Fernandes  
    Mathematics of Computation, Vol. 60, No. 202. (Apr., 1993), pp. 545-573, Jstor.  
  65. Smoothing Spline Density Estimation: Theory (in Curve Estimation)  
    Chong Gu, Chunfu Qiu  
    Annals of Statistics, Vol. 21, No. 1. (Mar., 1993), pp. 217-234, Jstor.  
  66. Linear and Quadratic Spline Models for Consumer Demand Functions  
    W.E. Diewert, T.J. Wales  
    The Canadian Journal of Economics, Vol. 26, No. 1. (Feb., 1993), pp. 77-106, Jstor.  
  67. Quadratic Spline Models for Producer's Supply and Demand Functions  
    W. E. Diewert, T. J. Wales  
    International Economic Review, Vol. 33, No. 3. (Aug., 1992), pp. 705-722, Jstor.  
  68. Clothoid Spline Transition Spirals  
    D. S. Meek, D. J. Walton  
    Mathematics of Computation, Vol. 59, No. 199. (Jul., 1992), pp. 117-133, Jstor.  
  69. Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations  
    Yi Yan, Graeme Fairweather  
    SIAM Journal on Numerical Analysis, Vol. 29, No. 3. (Jun., 1992), pp. 755-768, Jstor.  
  70. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  71. Hierarchical Spline Models for Conditional Quantiles and the Demand for Electricity (in Applications and Case Studies)  
    Wallace Hendricks, Roger Koenker  
    Journal of the American Statistical Association, Vol. 87, No. 417. (Mar., 1992), pp. 58-68, Jstor.  
  72. Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations  
    Bernard Bialecki, Graeme Fairweather, Karin R. Bennett  
    SIAM Journal on Numerical Analysis, Vol. 29, No. 1. (Feb., 1992), pp. 156-173, Jstor.  
  73. Interaction Spline Models and Their Convergence Rates  
    Zehua Chen  
    Annals of Statistics, Vol. 19, No. 4. (Dec., 1991), pp. 1855-1868, Jstor.  
  74. A Cardinal Spline Approach to Wavelets  
    Charles K. Chui, Jian-Zhong Wang  
    Proceedings of the American Mathematical Society, Vol. 113, No. 3. (Nov., 1991), pp. 785-793, Jstor.  
  75. Box-Spline Tilings  
    Carl de Boor, Klaus Hollig  
    American Mathematical Monthly, Vol. 98, No. 9. (Nov., 1991), pp. 793-802, Jstor.  
  76. Lateral Mode Analysis in Semiconductor Lasers Using a Cubic Spline Approximation of the Refractive Index Profile.
    Chui, H.C.; Chan, A.K.
    Journal of lightwave technology, 1989, vol. 7, no. 9, pp. 1419 , Ingenta.
  77. Spline Matrices and Their Applications to Some Higher Order Methods for Boundary Value Problems  
    John Gregory, Marvin Zeman  
    SIAM Journal on Numerical Analysis, Vol. 25, No. 2. (Apr., 1988), pp. 399-410, Jstor.  
  78. The Condition of the B-Spline Basis for Polynomials  
    Carl De Boor  
    SIAM Journal on Numerical Analysis, Vol. 25, No. 1. (Feb., 1988), pp. 148-152, Jstor.  
  79. Convergence of O(h^4) Cubic Spline Collocation Methods for Elliptic Partial Differential Equations  
    E. N. Houstis, E. A. Vavalis, J. R. Rice  
    SIAM Journal on Numerical Analysis, Vol. 25, No. 1. (Feb., 1988), pp. 54-74, Jstor.  
  80. The Computational Cost of Simplex Spline Functions  
    Thomas A. Grandine  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 4. (Aug., 1987), pp. 887-890, Jstor.  
  81. On the Convergence of Some Cubic Spline Interpolation Schemes  
    R. K. Beatson  
    SIAM Journal on Numerical Analysis, Vol. 23, No. 4. (Aug., 1986), pp. 903-912, Jstor.  
  82. On Monotone and Convex Spline Interpolation  
    Paolo Costantini  
    Mathematics of Computation, Vol. 46, No. 173. (Jan., 1986), pp. 203-214, Jstor.  
  83. A Class of Cubic Splines Obtained Through Minimum Conditions  
    D. Bini, M. Capovani  
    Mathematics of Computation, Vol. 46, No. 173. (Jan., 1986), pp. 191-202, Jstor.  
  84. Spline Interpolation at a Bi-Infinite Knot Sequence  
    Rong-Qing Jia  
    SIAM Journal on Numerical Analysis, Vol. 23, No. 3. (Jun., 1986), pp. 653-662, Jstor.  
  85. The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines  
    P. L. Butzer, W. Engels, S. Ries, R. L. Stens  
    SIAM Journal on Applied Mathematics, Vol. 46, No. 2. (Apr., 1986), pp. 299-323, Jstor.  
  86. A Geometric Proof of Total Positivity for Spline Interpolation  
    C. de Boor, R. DeVore  
    Mathematics of Computation, Vol. 45, No. 172. (Oct., 1985), pp. 497-504, Jstor.  
  87. Multivariate Smoothing Spline Functions  
    Dennis D. Cox  
    SIAM Journal on Numerical Analysis, Vol. 21, No. 4. (Aug., 1984), pp. 789-813, Jstor.  
  88. A class of combinations of B-splines and curve fitting. (Chinese)  
    Linhu, Chang Ren  
    Numer. Math. J. Chinese Univ. 6 (1984), no. 1, 1--7, MathSciNet.  
  89. On Shape Preserving Quadratic Spline Interpolation
    Larry L. Schumaker
    SIAM Journal on Numerical Analysis, Vol. 20, No. 4. (Aug., 1983), pp. 854-864, Jstor.  
  90. On Spline Basis Selection for Solving Differential Equations  
    U. Ascher, S. Pruess, R. D. Russell  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 1. (Feb., 1983), pp. 121-142.
  91. On Smooth Multivariate Spline Functions  
    Charles K. Chui, Ren-Hong Wang  
    Mathematics of Computation, Vol. 41, No. 163. (Jul., 1983), pp. 131-142, Jstor.  
  92. The mathematical programming method of conformal curve fitting by cubic splines (Chinese)
    Li, Kang Mei
    J. Numer. Methods Comput. Appl. 4 (1983), no. 4, 200--207, MathSciNet.  
  93. The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation  
    T. N. T. Goodman, S. L. Lee  
    Transactions of the American Mathematical Society, Vol. 271, No. 2. (Jun., 1982), pp. 451-467, Jstor.  
  94. Curve fitting with clothoidal splines  
    Stoer, Josef
    J. Res. Nat. Bur. Standards 87 (1982), no. 4, 317--346, MathSciNet.  
  95. Monotone and Convex Approximation by Splines: Error Estimates and a Curve Fitting Algorithm  
    R. K. Beatson  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 6. (Dec., 1982), pp. 1278-1285, Jstor.  
  96. Spline Interpolation at Knot Averages on a Two-Sided Geometric Mesh  
    M. J. Marsden  
    Mathematics of Computation, Vol. 38, No. 157. (Jan., 1982), pp. 113-126, Jstor.  
  97. Cubic Splines and Approximate Solution of Singular Integral Equations  
    Erica Jen, R. P. Srivastav  
    Mathematics of Computation, Vol. 37, No. 156. (Oct., 1981), pp. 417-423, Jstor.  
  98. Multi-Dimensional Spline Approximation  
    W. Dahmen, R. De Vore, K. Scherer  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 3. (Jun., 1980), pp. 380-402, Jstor.  
  99. Spline Notation Applied to a Volume Problem (in Classroom Notes)  
    D. L. Barrow, P. W. Smith  
    American Mathematical Monthly, Vol. 86, No. 1. (Jan., 1979), pp. 50-51, Jstor.  
  100. Cardinal Hermite Spline Interpolation: Convergence as the Degree Tends to Infinity  
    M. J. Marsden, S. D. Riemenschneider  
    Transactions of the American Mathematical Society, Vol. 235. (Jan., 1978), pp. 221-244, Jstor.  
  101. Interpolation Using the Cubic Spline Function   
    Randolph J. Taylor  
    Pi Mu Epsilon Journal, Vol. 6, No. 7, (1977), pp. 387-393.  
  102. Discrete Interpolating and Smoothing Spline Functions  
    C. S. Duris  
    SIAM Journal on Numerical Analysis, Vol. 14, No. 4. (Sep., 1977), pp. 686-698, Jstor.  
  103. Monotone and Convex Spline Interpolation  
    Eli Passow, John A. Roulier  
    SIAM Journal on Numerical Analysis, Vol. 14, No. 5. (Sep., 1977), pp. 904-909, Jstor.  
  104. Algorithms for Computing Shape Preserving Spline Interpolations to Data  
    David F. McAllister, Eli Passow, John A. Roulier  
    Mathematics of Computation, Vol. 31, No. 139. (Jul., 1977), pp. 717-725, Jstor.  
  105. On the Computation of Nonlinear Spline Functions  
    Michael A. Malcolm  
    SIAM Journal on Numerical Analysis, Vol. 14, No. 2. (Apr., 1977), pp. 254-282, Jstor.  
  106. An O(h^4) Cubic Spline Collocation Method for Quasilinear Parabolic Equations  
    David Archer  
    SIAM Journal on Numerical Analysis, Vol. 14, No. 4. (Sep., 1977), pp. 620-637, Jstor.  
  107. Corrigenda: Cubic Splines as a Special Case of Restricted Least Squares  
    A. Buse, L. Lim  
    Journal of the American Statistical Association, Vol. 72, No. 358. (Jun., 1977), p. 488, Jstor.  
  108. Cubic Splines as a Special Case of Restricted Least Squares (in Applications)  
    A. Buse, L. Lim  
    Journal of the American Statistical Association, Vol. 72, No. 357. (Mar., 1977), pp. 64-68, Jstor.  
  109. Lacunary Polynomial Spline Interpolation  
    Stephen Demko  
    SIAM Journal on Numerical Analysis, Vol. 13, No. 3. (Jun., 1976), pp. 369-381, Jstor.  
  110. Spline Function Approximation for Solutions of Functional Differential Equations  
    Gene A. Kemper  
    SIAM Journal on Numerical Analysis, Vol. 12, No. 1. (Mar., 1975), pp. 73-88, Jstor.  
  111. On Comparing Adams and Natural Spline Multistep Formulas  
    David R. Hill  
    Mathematics of Computation, Vol. 29, No. 131. (Jul., 1975), pp. 741-745, Jstor.  
  112. On H^m,inf - Splines  
    Charles K. Chui, Philip W. Smith  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 3. (Jun., 1974), pp. 554-558, Jstor.  
  113. Error Bounds for Interpolating Cubic Splines Under Various End Conditions  
    Thomas R. Lucas  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 3. (Jun., 1974), pp. 569-584, Jstor.  
  114. Bounding the Error in Spline Interpolation  
    Carl de Boor  
    SIAM Review, Vol. 16, No. 4. (Oct., 1974), pp. 531-544, Jstor.  
  115. Another Approach to the Cubic Interpolating Spline (in Classroom Notes)  
    B. H. Rosman
    American Mathematical Monthly, Vol. 80, No. 8. (Oct., 1973), pp. 927-930.
  116. Natural Cubic and Bicubic Spline Interpolation  
    C. A. Hall  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 6. (Dec., 1973), pp. 1055-1060, Jstor.  
  117. Spline Approximation to the Solution of the Volterra Integral Equation of the Second Kind  
    Arun N. Netravali  
    Mathematics of Computation, Vol. 27, No. 121. (Jan., 1973), pp. 99-106, Jstor.  
  118. A New Error Analysis for a Cubic Spline Approximate Solution of a Class of Volterra Integro-Differential Equations  
    Joseph A. Guzek, Gene A. Kemper
    Mathematics of Computation, Vol. 27, No. 123. (Jul., 1973), pp. 563-570, Jstor.  
  119. Approximate Solution of the Differential Equation y''= f(x,y) with Spline Functions  
    G. Micula  
    Mathematics of Computation, Vol. 27, No. 124. (Oct., 1973), pp. 807-816, Jstor.  
  120. Endpoint Formulas for Interpolatory Cubic Splines  
    Thomas I. Seidman, Robert J. Korsan  
    Mathematics of Computation, Vol. 26, No. 120. (Oct., 1972), pp. 897-900, Jstor.  
  121. The Orders of Approximation of the First Derivative of Cubic Splines at the Knots  
    D. Kershaw  
    Mathematics of Computation, Vol. 26, No. 117. (Jan., 1972), pp. 191-198, Jstor.  
  122. Local Convergence of Smooth Cubic Spline Interpolates  
    W. J. Kammerer, G. W. Reddien, Jr.
    SIAM Journal on Numerical Analysis, Vol. 9, No. 4. (Dec., 1972), pp. 687-694, Jstor.  
  123. Table for Third-Degree Spline Interpolation Using Equi-Spaced Knots  
    W. D. Hoskins  
    Mathematics of Computation, Vol. 25, No. 116. (Oct., 1971), pp. 797-801, Jstor.  
  124. On Interpolation with Derivatives  
    Werner Haussmann
    SIAM Journal on Numerical Analysis, Vol. 8, No. 3. (Sep., 1971), pp. 483-485.
  125. A Note on the Convergence of Interpolatory Cubic Splines  
    D. Kershaw  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 1. (Mar., 1971), pp. 67-74, Jstor.  
  126. Table for Third-Degree Spline Interpolation with Equally Spaced Arguments  
    T. N. E. Greville  
    Mathematics of Computation, Vol. 24, No. 109. (Jan., 1970), pp. 179-183, Jstor.  
  127. Error Bounds for Polynomial Spline Interpolation  
    Martin H. Schultz  
    Mathematics of Computation, Vol. 24, No. 111. (Jul., 1970), pp. 507-515, Jstor.  
  128. Short Notes: Interpolation with Derivatives  
    James W. Matthews  
    SIAM Review, Vol. 12, No. 1. (Jan., 1970), pp. 127-128, Jstor.  
  129. The Local Dependence of Least Squares Cubic Splines  
    M. J. D. Powell  
    SIAM Journal on Numerical Analysis, Vol. 6, No. 3. (Sep., 1969), pp. 398-413, Jstor.  
  130. A Note on Obtaining Natural Spline Functions by the Abstract Approach of Atteia and Laurent  
    J. W. Jerome, L. L. Schumaker  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 4. (Dec., 1968), pp. 657-663, Jstor.  
  131. Uniform Approximation by Chebyshev Spline Functions. II: Free Knots  
    Larry Schumaker  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 4. (Dec., 1968), pp. 647-656, Jstor.  
  132. On the Order of Convergence of Natural Cubic Spline Interpolation  
    Kendall E. Atkinson  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 1. (Mar., 1968), pp. 89-101, Jstor.  
  133. Complex Cubic Splines  
    J. H. Ahlberg, E. N. Nilson, J. L. Walsh  
    Transactions of the American Mathematical Society, Vol. 129, No. 3. (Dec., 1967), pp. 391-413, Jstor.  
  134. Spline Function Approximations for Solutions of Ordinary Differential Equations  
    Frank R. Loscalzo, Thomas D. Talbot  
    SIAM Journal on Numerical Analysis, Vol. 4, No. 3. (Sep., 1967), pp. 433-445, Jstor.  
  135. Chebyshevian Spline Functions  
    Samuel Karlin, Zvi Ziegler  
    SIAM Journal on Numerical Analysis, Vol. 3, No. 3. (Sep., 1966), pp. 514-543, Jstor.  
  136. Numerical Procedures for Interpolation by Spline Functions  
    T. N. E. Greville  
    Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis, Vol. 1. (1964), pp. 53-68, Jstor.  
  137. Bivariate Generalization of Hermite's Interpolation Formula  
    A. C. Ahlin
    Mathematics of Computation, Vol. 18, No. 86. (Apr., 1964), pp. 264-273.
  138. Convergence Properties of the Spline Fit  
    J. H. Ahlberg, E. N. Nilson  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 1. (Mar., 1963), pp. 95-104, Jstor.  
  139. A Generalization of Hermite's Interpolation Formula  
    A. Spitzbart  
    American Mathematical Monthly, Vol. 67, No. 1. (Jan., 1960), pp. 42-46, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003